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January 3, 2022 15:11
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import numpy as np | |
from scipy.stats import ttest_1samp, wilcoxon | |
def ttest(a): | |
return ttest_1samp(a, 0) | |
n_times = 30 | |
n_chans = 4 | |
n_epochs = 200 | |
n_subjects = 100 | |
def make_subject(): | |
epo = np.random.randn(n_epochs, n_chans, n_times) | |
wfreq = np.random.rand(n_epochs) | |
alpha = np.random.rand(n_epochs) | |
return epo, wfreq, alpha | |
def gfp(epo): | |
n_trials, n_chans, n_times = epo.shape | |
evo = epo.mean(0) | |
return evo.std(0) | |
out = np.empty((n_subjects, n_times, 4)) | |
for subject in range(n_subjects): | |
epo, wfreq, alpha = make_subject() | |
# factorize | |
wfreq_bin = wfreq>np.median(wfreq) | |
alpha_bin = alpha>np.median(alpha) | |
out[subject, :, 0] = gfp(epo[~alpha_bin & ~wfreq_bin]) | |
out[subject, :, 1] = gfp(epo[alpha_bin & ~wfreq_bin]) | |
out[subject, :, 2] = gfp(epo[~alpha_bin & wfreq_bin]) | |
out[subject, :, 3] = gfp(epo[alpha_bin & wfreq_bin]) | |
windows = [slice(0, 10), slice(10, 20), slice(20, 30)] | |
for stat in (wilcoxon, ttest): | |
print(stat.__name__) | |
for window in windows: | |
# wfreq low | |
alphalow = out[:, window, 0].mean(1) | |
alphahigh = out[:, window, 1].mean(1) | |
wfreqlow = alphalow - alphahigh | |
print(f'wfreq low: alpha low vs alpha high: p={stat(wfreqlow)[1]}') | |
# wfreq high | |
alphalow = out[:, window, 2].mean(1) | |
alphahigh = out[:, window, 3].mean(1) | |
wfreqhigh = alphalow - alphahigh | |
print(f'wfreq high: alpha low vs alpha high: p={stat(wfreqhigh)[1]}') | |
print(f'interactaion wfreq * alpha p={stat(wfreqhigh - wfreqlow)[1]}') |
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